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Finding the Third Proportional to 201,696 and 434,208

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Solution

The third proportional to 201,696 and 434,208 is: 934,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,696 : 434,208 = 434,208 : x
  2. Step 2: Convert to fraction form
    201,696/434,208 = 434,208/x
  3. Step 3: Cross multiply
    201,696x = 434,208 × 434,208
  4. Step 4: Simplify right side
    201,696x = 188,536,587,264
  5. Step 5: Solve for x
    x = 188,536,587,264/201,696
  6. Step 6: Final answer
    x = 934,756.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.